HP 48gII User Manual
Page 615
Page 18-44
Try the following exercises:
Example 1 – For
µ
0
= 150,
σ = 10, x = 158, n = 50, for α = 0.05, test the
hypothesis H
0
:
µ = µ
0
, against the alternative hypothesis, H
1
:
µ ≠ µ
0
.
Press
‚Ù—— @@@OK@@@ to access the hypothesis testing feature in the
calculator. Press
@@@OK@@@ to select option 1. Z-Test: 1 µ.
Enter the following data and press
@@@OK@@@:
You are then asked to select the alternative hypothesis. Select
µ ≠150, and
press
@@OK@@. The result is:
Then, we reject H
0
:
µ = 150, against H
1
:
µ ≠ 150. The test z value is z
0
=
5.656854. The P-value is 1.54
×10
-8
. The critical values of
±z
α
/2
=
±1.959964, corresponding to critical x range of {147.2 152.8}.
This information can be observed graphically by pressing the soft-menu key
@GRAPH: